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A thin plate occupies the region bounded by the line y = x + 2 and the parabola y = x 2 , where it

A thin plate occupies the region bounded by the line y = x + 2 and the parabola y = x2, where it density is ?(x, y) = kx2. Determine the center of mass of this thin plate. Assume this thin plate to have no thickness.

*THIS QUESTION IS BASED ON THE TOPIC OF DOUBLE INTEGRATION*

**PLEASE SHOW ALL OF YOUR WORK**

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